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Finding the Fourth Proportional to 13,623.66, 20,434.92 and 4,741.02

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Solution

The fourth proportional to 13,623.66, 20,434.92 and 4,741.02 is: 7,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,623.66 : 20,434.92 = 4,741.02 : x
  2. Step 2: Convert to fraction form
    13,623.66/20,434.92 = 4,741.02/x
  3. Step 3: Cross multiply
    13,623.66x = 20,434.92 × 4,741.02
  4. Step 4: Simplify right side
    13,623.66x = 96,882,364.42
  5. Step 5: Solve for x
    x = 96,882,364.42/13,623.66
  6. Step 6: Final answer
    x = 7,111.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.